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Finding the Third Proportional to 423,427.25 and 908,251.75

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Solution

The third proportional to 423,427.25 and 908,251.75 is: 1,948,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,427.25 : 908,251.75 = 908,251.75 : x
  2. Step 2: Convert to fraction form
    423,427.25/908,251.75 = 908,251.75/x
  3. Step 3: Cross multiply
    423,427.25x = 908,251.75 × 908,251.75
  4. Step 4: Simplify right side
    423,427.25x = 824,921,241,378.06
  5. Step 5: Solve for x
    x = 824,921,241,378.06/423,427.25
  6. Step 6: Final answer
    x = 1,948,200.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.